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Finding the Third Proportional to 297,567 and 449,114.63

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Solution

The third proportional to 297,567 and 449,114.63 is: 677,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,567 : 449,114.63 = 449,114.63 : x
  2. Step 2: Convert to fraction form
    297,567/449,114.63 = 449,114.63/x
  3. Step 3: Cross multiply
    297,567x = 449,114.63 × 449,114.63
  4. Step 4: Simplify right side
    297,567x = 201,703,946,388.89
  5. Step 5: Solve for x
    x = 201,703,946,388.89/297,567
  6. Step 6: Final answer
    x = 677,843.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.